diff --git a/.github/workflows/pull-request.yml b/.github/workflows/pull-request.yml
index ab1dca7..9b1fe84 100644
--- a/.github/workflows/pull-request.yml
+++ b/.github/workflows/pull-request.yml
@@ -20,7 +20,7 @@ jobs:
         with:
           python-version: ${{ matrix.python-version }}
       - name: run pytest
-        shell: sh
+        shell: bash
         run: ./scripts/test | tee pytest-coverage.txt
       - name: comment coverage
         if: ${{ matrix.python-version == '3.12' }}
diff --git a/poetry.lock b/poetry.lock
index de24513..60fa97a 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1,14 +1,15 @@
-# This file is automatically @generated by Poetry 1.8.2 and should not be changed by hand.
+# This file is automatically @generated by Poetry 2.0.0 and should not be changed by hand.
 
 [[package]]
 name = "argcomplete"
-version = "3.4.0"
+version = "3.5.3"
 description = "Bash tab completion for argparse"
 optional = false
 python-versions = ">=3.8"
+groups = ["dev"]
 files = [
-    {file = "argcomplete-3.4.0-py3-none-any.whl", hash = "sha256:69a79e083a716173e5532e0fa3bef45f793f4e61096cf52b5a42c0211c8b8aa5"},
-    {file = "argcomplete-3.4.0.tar.gz", hash = "sha256:c2abcdfe1be8ace47ba777d4fce319eb13bf8ad9dace8d085dcad6eded88057f"},
+    {file = "argcomplete-3.5.3-py3-none-any.whl", hash = "sha256:2ab2c4a215c59fd6caaff41a869480a23e8f6a5f910b266c1808037f4e375b61"},
+    {file = "argcomplete-3.5.3.tar.gz", hash = "sha256:c12bf50eded8aebb298c7b7da7a5ff3ee24dffd9f5281867dfe1424b58c55392"},
 ]
 
 [package.extras]
@@ -16,13 +17,14 @@ test = ["coverage", "mypy", "pexpect", "ruff", "wheel"]
 
 [[package]]
 name = "certifi"
-version = "2024.7.4"
+version = "2024.12.14"
 description = "Python package for providing Mozilla's CA Bundle."
 optional = false
 python-versions = ">=3.6"
+groups = ["main"]
 files = [
-    {file = "certifi-2024.7.4-py3-none-any.whl", hash = "sha256:c198e21b1289c2ab85ee4e67bb4b4ef3ead0892059901a8d5b622f24a1101e90"},
-    {file = "certifi-2024.7.4.tar.gz", hash = "sha256:5a1e7645bc0ec61a09e26c36f6106dd4cf40c6db3a1fb6352b0244e7fb057c7b"},
+    {file = "certifi-2024.12.14-py3-none-any.whl", hash = "sha256:1275f7a45be9464efc1173084eaa30f866fe2e47d389406136d332ed4967ec56"},
+    {file = "certifi-2024.12.14.tar.gz", hash = "sha256:b650d30f370c2b724812bee08008be0c4163b163ddaec3f2546c1caf65f191db"},
 ]
 
 [[package]]
@@ -31,6 +33,7 @@ version = "3.4.0"
 description = "Validate configuration and produce human readable error messages."
 optional = false
 python-versions = ">=3.8"
+groups = ["dev"]
 files = [
     {file = "cfgv-3.4.0-py2.py3-none-any.whl", hash = "sha256:b7265b1f29fd3316bfcd2b330d63d024f2bfd8bcb8b0272f8e19a504856c48f9"},
     {file = "cfgv-3.4.0.tar.gz", hash = "sha256:e52591d4c5f5dead8e0f673fb16db7949d2cfb3f7da4582893288f0ded8fe560"},
@@ -42,6 +45,8 @@ version = "0.4.6"
 description = "Cross-platform colored terminal text."
 optional = false
 python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,!=3.6.*,>=2.7"
+groups = ["dev"]
+markers = "sys_platform == \"win32\""
 files = [
     {file = "colorama-0.4.6-py2.py3-none-any.whl", hash = "sha256:4f1d9991f5acc0ca119f9d443620b77f9d6b33703e51011c16baf57afb285fc6"},
     {file = "colorama-0.4.6.tar.gz", hash = "sha256:08695f5cb7ed6e0531a20572697297273c47b8cae5a63ffc6d6ed5c201be6e44"},
@@ -49,13 +54,14 @@ files = [
 
 [[package]]
 name = "colorlog"
-version = "6.8.2"
+version = "6.9.0"
 description = "Add colours to the output of Python's logging module."
 optional = false
 python-versions = ">=3.6"
+groups = ["dev"]
 files = [
-    {file = "colorlog-6.8.2-py3-none-any.whl", hash = "sha256:4dcbb62368e2800cb3c5abd348da7e53f6c362dda502ec27c560b2e58a66bd33"},
-    {file = "colorlog-6.8.2.tar.gz", hash = "sha256:3e3e079a41feb5a1b64f978b5ea4f46040a94f11f0e8bbb8261e3dbbeca64d44"},
+    {file = "colorlog-6.9.0-py3-none-any.whl", hash = "sha256:5906e71acd67cb07a71e779c47c4bcb45fb8c2993eebe9e5adcd6a6f1b283eff"},
+    {file = "colorlog-6.9.0.tar.gz", hash = "sha256:bfba54a1b93b94f54e1f4fe48395725a3d92fd2a4af702f6bd70946bdc0c6ac2"},
 ]
 
 [package.dependencies]
@@ -66,63 +72,74 @@ development = ["black", "flake8", "mypy", "pytest", "types-colorama"]
 
 [[package]]
 name = "coverage"
-version = "7.6.0"
+version = "7.6.10"
 description = "Code coverage measurement for Python"
 optional = false
-python-versions = ">=3.8"
+python-versions = ">=3.9"
+groups = ["dev"]
 files = [
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-    {file = "coverage-7.6.0-cp310-cp310-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:7792f0ab20df8071d669d929c75c97fecfa6bcab82c10ee4adb91c7a54055463"},
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 ]
 
 [package.dependencies]
@@ -133,13 +150,14 @@ toml = ["tomli"]
 
 [[package]]
 name = "distlib"
-version = "0.3.8"
+version = "0.3.9"
 description = "Distribution utilities"
 optional = false
 python-versions = "*"
+groups = ["dev"]
 files = [
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 ]
 
 [[package]]
@@ -148,6 +166,8 @@ version = "1.2.2"
 description = "Backport of PEP 654 (exception groups)"
 optional = false
 python-versions = ">=3.7"
+groups = ["dev"]
+markers = "python_version < \"3.11\""
 files = [
     {file = "exceptiongroup-1.2.2-py3-none-any.whl", hash = "sha256:3111b9d131c238bec2f8f516e123e14ba243563fb135d3fe885990585aa7795b"},
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@@ -158,29 +178,31 @@ test = ["pytest (>=6)"]
 
 [[package]]
 name = "filelock"
-version = "3.15.4"
+version = "3.16.1"
 description = "A platform independent file lock."
 optional = false
 python-versions = ">=3.8"
+groups = ["dev"]
 files = [
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 ]
 
 [package.extras]
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-testing = ["covdefaults (>=2.3)", "coverage (>=7.3.2)", "diff-cover (>=8.0.1)", "pytest (>=7.4.3)", "pytest-asyncio (>=0.21)", "pytest-cov (>=4.1)", "pytest-mock (>=3.12)", "pytest-timeout (>=2.2)", "virtualenv (>=20.26.2)"]
-typing = ["typing-extensions (>=4.8)"]
+docs = ["furo (>=2024.8.6)", "sphinx (>=8.0.2)", "sphinx-autodoc-typehints (>=2.4.1)"]
+testing = ["covdefaults (>=2.3)", "coverage (>=7.6.1)", "diff-cover (>=9.2)", "pytest (>=8.3.3)", "pytest-asyncio (>=0.24)", "pytest-cov (>=5)", "pytest-mock (>=3.14)", "pytest-timeout (>=2.3.1)", "virtualenv (>=20.26.4)"]
+typing = ["typing-extensions (>=4.12.2)"]
 
 [[package]]
 name = "identify"
-version = "2.6.0"
+version = "2.6.5"
 description = "File identification library for Python"
 optional = false
-python-versions = ">=3.8"
+python-versions = ">=3.9"
+groups = ["dev"]
 files = [
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 ]
 
 [package.extras]
@@ -192,6 +214,7 @@ version = "2.0.0"
 description = "brain-dead simple config-ini parsing"
 optional = false
 python-versions = ">=3.7"
+groups = ["dev"]
 files = [
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@@ -203,6 +226,7 @@ version = "2.22"
 description = "Use a JPL ephemeris to predict planet positions."
 optional = false
 python-versions = "*"
+groups = ["main"]
 files = [
     {file = "jplephem-2.22-py3-none-any.whl", hash = "sha256:efe4b3590f3eef1a5dfcf7078e8e93803f8ce3276c3306e93bfd20b3536b2c60"},
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@@ -217,6 +241,7 @@ version = "1.9.1"
 description = "Node.js virtual environment builder"
 optional = false
 python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,!=3.6.*,>=2.7"
+groups = ["dev"]
 files = [
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@@ -224,18 +249,19 @@ files = [
 
 [[package]]
 name = "nox"
-version = "2024.4.15"
+version = "2024.10.9"
 description = "Flexible test automation."
 optional = false
-python-versions = ">=3.7"
+python-versions = ">=3.8"
+groups = ["dev"]
 files = [
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+    {file = "nox-2024.10.9-py3-none-any.whl", hash = "sha256:1d36f309a0a2a853e9bccb76bbef6bb118ba92fa92674d15604ca99adeb29eab"},
+    {file = "nox-2024.10.9.tar.gz", hash = "sha256:7aa9dc8d1c27e9f45ab046ffd1c3b2c4f7c91755304769df231308849ebded95"},
 ]
 
 [package.dependencies]
-argcomplete = ">=1.9.4,<4.0"
-colorlog = ">=2.6.1,<7.0.0"
+argcomplete = ">=1.9.4,<4"
+colorlog = ">=2.6.1,<7"
 packaging = ">=20.9"
 tomli = {version = ">=1", markers = "python_version < \"3.11\""}
 virtualenv = ">=20.14.1"
@@ -250,6 +276,7 @@ version = "1.0.3"
 description = "nox-poetry"
 optional = false
 python-versions = ">=3.7,<4.0"
+groups = ["dev"]
 files = [
     {file = "nox_poetry-1.0.3-py3-none-any.whl", hash = "sha256:a2fffeb70ae81840479e68287afe1c772bf376f70f1e92f99832a20b3c64d064"},
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@@ -262,75 +289,97 @@ tomlkit = ">=0.7"
 
 [[package]]
 name = "numpy"
-version = "1.26.4"
+version = "2.2.1"
 description = "Fundamental package for array computing in Python"
 optional = false
-python-versions = ">=3.9"
+python-versions = ">=3.10"
+groups = ["main"]
 files = [
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@@ -349,13 +399,14 @@ testing = ["pytest", "pytest-benchmark"]
 
 [[package]]
 name = "pre-commit"
-version = "3.7.1"
+version = "3.8.0"
 description = "A framework for managing and maintaining multi-language pre-commit hooks."
 optional = false
 python-versions = ">=3.9"
+groups = ["dev"]
 files = [
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+    {file = "pre_commit-3.8.0.tar.gz", hash = "sha256:8bb6494d4a20423842e198980c9ecf9f96607a07ea29549e180eef9ae80fe7af"},
 ]
 
 [package.dependencies]
@@ -367,13 +418,14 @@ virtualenv = ">=20.10.0"
 
 [[package]]
 name = "pytest"
-version = "8.3.1"
+version = "8.3.4"
 description = "pytest: simple powerful testing with Python"
 optional = false
 python-versions = ">=3.8"
+groups = ["dev"]
 files = [
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 ]
 
 [package.dependencies]
@@ -389,17 +441,18 @@ dev = ["argcomplete", "attrs (>=19.2)", "hypothesis (>=3.56)", "mock", "pygments
 
 [[package]]
 name = "pytest-cov"
-version = "5.0.0"
+version = "6.0.0"
 description = "Pytest plugin for measuring coverage."
 optional = false
-python-versions = ">=3.8"
+python-versions = ">=3.9"
+groups = ["dev"]
 files = [
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 ]
 
 [package.dependencies]
-coverage = {version = ">=5.2.1", extras = ["toml"]}
+coverage = {version = ">=7.5", extras = ["toml"]}
 pytest = ">=4.6"
 
 [package.extras]
@@ -411,6 +464,7 @@ version = "3.0.0"
 description = "Pytest plugin for measuring coverage. Forked from `pytest-cov`."
 optional = false
 python-versions = "*"
+groups = ["dev"]
 files = [
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@@ -425,6 +479,7 @@ version = "0.0"
 description = "Pytest plugin for measuring coverage. Forked from `pytest-cov`."
 optional = false
 python-versions = "*"
+groups = ["dev"]
 files = [
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@@ -435,62 +490,65 @@ pytest-cover = "*"
 
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-version = "6.0.1"
+version = "6.0.2"
 description = "YAML parser and emitter for Python"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.8"
+groups = ["dev"]
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 description = "Track Earth satellites given TLE data, using up-to-date 2020 SGP4 routines."
 optional = false
 python-versions = "*"
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+    {file = "shapely-2.0.6-cp38-cp38-win_amd64.whl", hash = "sha256:3a82d58a1134d5e975f19268710e53bddd9c473743356c90d97ce04b73e101ee"},
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+    {file = "shapely-2.0.6-cp39-cp39-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:7060566bc4888b0c8ed14b5d57df8a0ead5c28f9b69fb6bed4476df31c51b0af"},
+    {file = "shapely-2.0.6-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:b02154b3e9d076a29a8513dffcb80f047a5ea63c897c0cd3d3679f29363cf7e5"},
+    {file = "shapely-2.0.6-cp39-cp39-win32.whl", hash = "sha256:44246d30124a4f1a638a7d5419149959532b99dfa25b54393512e6acc9c211ac"},
+    {file = "shapely-2.0.6-cp39-cp39-win_amd64.whl", hash = "sha256:2b542d7f1dbb89192d3512c52b679c822ba916f93479fa5d4fc2fe4fa0b3c9e8"},
+    {file = "shapely-2.0.6.tar.gz", hash = "sha256:997f6159b1484059ec239cacaa53467fd8b5564dabe186cd84ac2944663b0bf6"},
 ]
 
 [package.dependencies]
@@ -604,6 +670,7 @@ version = "1.49"
 description = "Elegant astronomy for Python"
 optional = false
 python-versions = "*"
+groups = ["main"]
 files = [
     {file = "skyfield-1.49-py3-none-any.whl", hash = "sha256:4986b7d5368f159050106282dec0f97e193c32689605ee4077d7d49465aaf13e"},
     {file = "skyfield-1.49.tar.gz", hash = "sha256:20883027b2bbf4017dd916b64faaeb3713a8f88d7c8e353c15cd030ac63be92c"},
@@ -617,35 +684,69 @@ sgp4 = ">=2.2"
 
 [[package]]
 name = "tomli"
-version = "2.0.1"
+version = "2.2.1"
 description = "A lil' TOML parser"
 optional = false
-python-versions = ">=3.7"
+python-versions = ">=3.8"
+groups = ["dev"]
+markers = "python_full_version <= \"3.11.0a6\""
 files = [
-    {file = "tomli-2.0.1-py3-none-any.whl", hash = "sha256:939de3e7a6161af0c887ef91b7d41a53e7c5a1ca976325f429cb46ea9bc30ecc"},
-    {file = "tomli-2.0.1.tar.gz", hash = "sha256:de526c12914f0c550d15924c62d72abc48d6fe7364aa87328337a31007fe8a4f"},
+    {file = "tomli-2.2.1-cp311-cp311-macosx_10_9_x86_64.whl", hash = "sha256:678e4fa69e4575eb77d103de3df8a895e1591b48e740211bd1067378c69e8249"},
+    {file = "tomli-2.2.1-cp311-cp311-macosx_11_0_arm64.whl", hash = "sha256:023aa114dd824ade0100497eb2318602af309e5a55595f76b626d6d9f3b7b0a6"},
+    {file = "tomli-2.2.1-cp311-cp311-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:ece47d672db52ac607a3d9599a9d48dcb2f2f735c6c2d1f34130085bb12b112a"},
+    {file = "tomli-2.2.1-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:6972ca9c9cc9f0acaa56a8ca1ff51e7af152a9f87fb64623e31d5c83700080ee"},
+    {file = "tomli-2.2.1-cp311-cp311-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:c954d2250168d28797dd4e3ac5cf812a406cd5a92674ee4c8f123c889786aa8e"},
+    {file = "tomli-2.2.1-cp311-cp311-musllinux_1_2_aarch64.whl", hash = "sha256:8dd28b3e155b80f4d54beb40a441d366adcfe740969820caf156c019fb5c7ec4"},
+    {file = "tomli-2.2.1-cp311-cp311-musllinux_1_2_i686.whl", hash = "sha256:e59e304978767a54663af13c07b3d1af22ddee3bb2fb0618ca1593e4f593a106"},
+    {file = "tomli-2.2.1-cp311-cp311-musllinux_1_2_x86_64.whl", hash = "sha256:33580bccab0338d00994d7f16f4c4ec25b776af3ffaac1ed74e0b3fc95e885a8"},
+    {file = "tomli-2.2.1-cp311-cp311-win32.whl", hash = "sha256:465af0e0875402f1d226519c9904f37254b3045fc5084697cefb9bdde1ff99ff"},
+    {file = "tomli-2.2.1-cp311-cp311-win_amd64.whl", hash = "sha256:2d0f2fdd22b02c6d81637a3c95f8cd77f995846af7414c5c4b8d0545afa1bc4b"},
+    {file = "tomli-2.2.1-cp312-cp312-macosx_10_13_x86_64.whl", hash = "sha256:4a8f6e44de52d5e6c657c9fe83b562f5f4256d8ebbfe4ff922c495620a7f6cea"},
+    {file = "tomli-2.2.1-cp312-cp312-macosx_11_0_arm64.whl", hash = "sha256:8d57ca8095a641b8237d5b079147646153d22552f1c637fd3ba7f4b0b29167a8"},
+    {file = "tomli-2.2.1-cp312-cp312-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:4e340144ad7ae1533cb897d406382b4b6fede8890a03738ff1683af800d54192"},
+    {file = "tomli-2.2.1-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:db2b95f9de79181805df90bedc5a5ab4c165e6ec3fe99f970d0e302f384ad222"},
+    {file = "tomli-2.2.1-cp312-cp312-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:40741994320b232529c802f8bc86da4e1aa9f413db394617b9a256ae0f9a7f77"},
+    {file = "tomli-2.2.1-cp312-cp312-musllinux_1_2_aarch64.whl", hash = "sha256:400e720fe168c0f8521520190686ef8ef033fb19fc493da09779e592861b78c6"},
+    {file = "tomli-2.2.1-cp312-cp312-musllinux_1_2_i686.whl", hash = "sha256:02abe224de6ae62c19f090f68da4e27b10af2b93213d36cf44e6e1c5abd19fdd"},
+    {file = "tomli-2.2.1-cp312-cp312-musllinux_1_2_x86_64.whl", hash = "sha256:b82ebccc8c8a36f2094e969560a1b836758481f3dc360ce9a3277c65f374285e"},
+    {file = "tomli-2.2.1-cp312-cp312-win32.whl", hash = "sha256:889f80ef92701b9dbb224e49ec87c645ce5df3fa2cc548664eb8a25e03127a98"},
+    {file = "tomli-2.2.1-cp312-cp312-win_amd64.whl", hash = "sha256:7fc04e92e1d624a4a63c76474610238576942d6b8950a2d7f908a340494e67e4"},
+    {file = "tomli-2.2.1-cp313-cp313-macosx_10_13_x86_64.whl", hash = "sha256:f4039b9cbc3048b2416cc57ab3bda989a6fcf9b36cf8937f01a6e731b64f80d7"},
+    {file = "tomli-2.2.1-cp313-cp313-macosx_11_0_arm64.whl", hash = "sha256:286f0ca2ffeeb5b9bd4fcc8d6c330534323ec51b2f52da063b11c502da16f30c"},
+    {file = "tomli-2.2.1-cp313-cp313-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:a92ef1a44547e894e2a17d24e7557a5e85a9e1d0048b0b5e7541f76c5032cb13"},
+    {file = "tomli-2.2.1-cp313-cp313-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:9316dc65bed1684c9a98ee68759ceaed29d229e985297003e494aa825ebb0281"},
+    {file = "tomli-2.2.1-cp313-cp313-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:e85e99945e688e32d5a35c1ff38ed0b3f41f43fad8df0bdf79f72b2ba7bc5272"},
+    {file = "tomli-2.2.1-cp313-cp313-musllinux_1_2_aarch64.whl", hash = "sha256:ac065718db92ca818f8d6141b5f66369833d4a80a9d74435a268c52bdfa73140"},
+    {file = "tomli-2.2.1-cp313-cp313-musllinux_1_2_i686.whl", hash = "sha256:d920f33822747519673ee656a4b6ac33e382eca9d331c87770faa3eef562aeb2"},
+    {file = "tomli-2.2.1-cp313-cp313-musllinux_1_2_x86_64.whl", hash = "sha256:a198f10c4d1b1375d7687bc25294306e551bf1abfa4eace6650070a5c1ae2744"},
+    {file = "tomli-2.2.1-cp313-cp313-win32.whl", hash = "sha256:d3f5614314d758649ab2ab3a62d4f2004c825922f9e370b29416484086b264ec"},
+    {file = "tomli-2.2.1-cp313-cp313-win_amd64.whl", hash = "sha256:a38aa0308e754b0e3c67e344754dff64999ff9b513e691d0e786265c93583c69"},
+    {file = "tomli-2.2.1-py3-none-any.whl", hash = "sha256:cb55c73c5f4408779d0cf3eef9f762b9c9f147a77de7b258bef0a5628adc85cc"},
+    {file = "tomli-2.2.1.tar.gz", hash = "sha256:cd45e1dc79c835ce60f7404ec8119f2eb06d38b1deba146f07ced3bbc44505ff"},
 ]
 
 [[package]]
 name = "tomlkit"
-version = "0.13.0"
+version = "0.13.2"
 description = "Style preserving TOML library"
 optional = false
 python-versions = ">=3.8"
+groups = ["dev"]
 files = [
-    {file = "tomlkit-0.13.0-py3-none-any.whl", hash = "sha256:7075d3042d03b80f603482d69bf0c8f345c2b30e41699fd8883227f89972b264"},
-    {file = "tomlkit-0.13.0.tar.gz", hash = "sha256:08ad192699734149f5b97b45f1f18dad7eb1b6d16bc72ad0c2335772650d7b72"},
+    {file = "tomlkit-0.13.2-py3-none-any.whl", hash = "sha256:7a974427f6e119197f670fbbbeae7bef749a6c14e793db934baefc1b5f03efde"},
+    {file = "tomlkit-0.13.2.tar.gz", hash = "sha256:fff5fe59a87295b278abd31bec92c15d9bc4a06885ab12bcea52c71119392e79"},
 ]
 
 [[package]]
 name = "virtualenv"
-version = "20.26.3"
+version = "20.28.1"
 description = "Virtual Python Environment builder"
 optional = false
-python-versions = ">=3.7"
+python-versions = ">=3.8"
+groups = ["dev"]
 files = [
-    {file = "virtualenv-20.26.3-py3-none-any.whl", hash = "sha256:8cc4a31139e796e9a7de2cd5cf2489de1217193116a8fd42328f1bd65f434589"},
-    {file = "virtualenv-20.26.3.tar.gz", hash = "sha256:4c43a2a236279d9ea36a0d76f98d84bd6ca94ac4e0f4a3b9d46d05e10fea542a"},
+    {file = "virtualenv-20.28.1-py3-none-any.whl", hash = "sha256:412773c85d4dab0409b83ec36f7a6499e72eaf08c80e81e9576bca61831c71cb"},
+    {file = "virtualenv-20.28.1.tar.gz", hash = "sha256:5d34ab240fdb5d21549b76f9e8ff3af28252f5499fb6d6f031adac4e5a8c5329"},
 ]
 
 [package.dependencies]
@@ -658,6 +759,6 @@ docs = ["furo (>=2023.7.26)", "proselint (>=0.13)", "sphinx (>=7.1.2,!=7.3)", "s
 test = ["covdefaults (>=2.3)", "coverage (>=7.2.7)", "coverage-enable-subprocess (>=1)", "flaky (>=3.7)", "packaging (>=23.1)", "pytest (>=7.4)", "pytest-env (>=0.8.2)", "pytest-freezer (>=0.4.8)", "pytest-mock (>=3.11.1)", "pytest-randomly (>=3.12)", "pytest-timeout (>=2.1)", "setuptools (>=68)", "time-machine (>=2.10)"]
 
 [metadata]
-lock-version = "2.0"
+lock-version = "2.1"
 python-versions = "^3.10"
-content-hash = "4c424638f9f6fc85ce1f63408b21067e14da12b5cdc7d5dbdbe18889945c38be"
+content-hash = "99d1cddf94c75fd4e8f9b994c3e0a21d2508317107c78d714f3abfb74439cf11"
diff --git a/pyproject.toml b/pyproject.toml
index d008ab8..09e0b77 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -10,7 +10,7 @@ readme = "README.md"
 python = "^3.10"
 skyfield = "^1.48"
 shapely = "^2.0.4"
-numpy = "^1.26.4"
+numpy = ">1.26.4"
 platformdirs = "^4.2.2"
 
 [tool.poetry.group.dev.dependencies]
diff --git a/tle_sat/satellite.py b/tle_sat/satellite.py
index 1e47fc2..3711fbd 100644
--- a/tle_sat/satellite.py
+++ b/tle_sat/satellite.py
@@ -131,7 +131,11 @@ def view_angles(self, t: datetime | Time, target: Point) -> ViewAngles:
         )
         off_nadir_angle = np.degrees(vector_angle(nadir_vector, target_vector))
 
-        return ViewAngles(along_angle, cross_angle, off_nadir_angle)
+        return ViewAngles(
+            float(along_angle),
+            float(cross_angle),
+            float(off_nadir_angle),
+        )
 
     def los(self, t: datetime | Time, roll: float, pitch: float):
         sat_pos = self.at(t)
@@ -205,10 +209,10 @@ def build_pass(t: Time):
             return Pass(
                 t=t.utc_datetime(),
                 view_angles=self.view_angles(t, target),
-                azimuth=(az.degrees + 180.0) % 360.0,
-                incidence=90.0 - alt.degrees,
-                sun_azimuth=sun_az.degrees,
-                sun_elevation=sun_alt.degrees,
+                azimuth=float((az.degrees + 180.0) % 360.0),
+                incidence=float(90.0 - alt.degrees),
+                sun_azimuth=float(sun_az.degrees),
+                sun_elevation=float(sun_alt.degrees),
             )
 
         return [build_pass(pass_events[0][i]) for i in range(1, len(pass_events[0]), 3)]
diff --git a/tle_sat/satellite_test.py b/tle_sat/satellite_test.py
index 3da3827..867c4fe 100644
--- a/tle_sat/satellite_test.py
+++ b/tle_sat/satellite_test.py
@@ -1,8 +1,10 @@
 from contextlib import nullcontext
 from datetime import datetime, timedelta, timezone
 
+from numpy import around
 from pytest import approx, mark, raises
 from shapely import LineString, Point, Polygon, is_ccw
+from shapely.geometry import mapping, shape
 
 from tle_sat.satellite import (
     FieldOfView,
@@ -14,6 +16,34 @@
 )
 
 
+def _assert_pass_equals(p1: Pass, p2: Pass):
+    p1l = [
+        p1.view_angles.across,
+        p1.view_angles.along,
+        p1.view_angles.off_nadir,
+        p1.azimuth,
+        p1.incidence,
+        p1.sun_azimuth,
+        p1.sun_elevation,
+    ]
+    p2l = [
+        p2.view_angles.across,
+        p2.view_angles.along,
+        p2.view_angles.off_nadir,
+        p2.azimuth,
+        p2.incidence,
+        p2.sun_azimuth,
+        p2.sun_elevation,
+    ]
+    assert p1l == approx(p2l)
+
+
+def _precision(geom: Polygon | LineString, precision=6):
+    geojson = mapping(geom)
+    geojson["coordinates"] = around(geojson["coordinates"], precision)
+    return shape(geojson)
+
+
 def test_position_invalid_datetime(polar_tle):
     sat = Satellite(polar_tle)
     t = datetime(2024, 4, 19, 12, 0, 0, 0)
@@ -97,7 +127,7 @@ def test_footprint(polar_tle, t, v, f, expectation):
 
     with expectation as e:
         footprint = sat.footprint(t, v, f)
-        assert e.equals(footprint)
+        assert _precision(e, 8).equals(_precision(footprint, 8))
 
         if isinstance(e, Polygon):
             assert is_ccw(e.exterior)
@@ -158,7 +188,9 @@ def test_passes(polar_tle, t, target, passes):
         TimeOfInterest(t - timedelta(hours=2), t + timedelta(hours=2)),
         target,
     )
-    assert calculated == passes
+
+    for p1, p2 in zip(calculated, passes):
+        _assert_pass_equals(p1, p2)
 
 
 @mark.parametrize(
@@ -213,7 +245,7 @@ def test_orbit_track(polar_tle, kwargs, track):
     sat = Satellite(polar_tle)
 
     calculated = sat.orbit_track(**kwargs)
-    assert calculated == track
+    assert _precision(calculated, 7) == _precision(track, 7)
 
 
 @mark.parametrize(
@@ -321,4 +353,4 @@ def test_swath(polar_tle, kwargs, swath):
     sat = Satellite(polar_tle)
 
     calculated = sat.swath(**kwargs)
-    assert calculated == swath
+    assert _precision(calculated, 8) == _precision(swath, 8)