-result = run_TPM!(btpm, binary_ephem, times_to_save, face_ID_pri, face_ID_sec)</code></pre><h2 id="Non-Gravitational-Effects"><a class="docs-heading-anchor" href="#Non-Gravitational-Effects">Non-Gravitational Effects</a><a id="Non-Gravitational-Effects-1"></a><a class="docs-heading-anchor-permalink" href="#Non-Gravitational-Effects" title="Permalink"></a></h2><h3 id="Yarkovsky-Effect"><a class="docs-heading-anchor" href="#Yarkovsky-Effect">Yarkovsky Effect</a><a id="Yarkovsky-Effect-1"></a><a class="docs-heading-anchor-permalink" href="#Yarkovsky-Effect" title="Permalink"></a></h3><p>The Yarkovsky effect is an orbital perturbation caused by the asymmetric thermal radiation resulting from thermal inertia. This effect primarily affects the semi-major axis of the asteroid's orbit. The thermal force calculated by the TPM can be used to determine the magnitude and direction of the Yarkovsky effect on the asteroid's orbit. You should note that the output force is calculated in the asteroid-fixed frame, so you need to transform it to the inertial frame.</p><h3 id="YORP-Effect"><a class="docs-heading-anchor" href="#YORP-Effect">YORP Effect</a><a id="YORP-Effect-1"></a><a class="docs-heading-anchor-permalink" href="#YORP-Effect" title="Permalink"></a></h3><p>The YORP effect (Yarkovsky–O'Keefe–Radzievskii–Paddack effect) is a rotational perturbation resulting from thermal radiation due to the asymmetric shape of the asteroid. This effect influences the rotation rate and the orientation of the asteroid's spin axis. The thermal torque calculated by the TPM can be used to determine the magnitude and direction of the YORP effect on the asteroid's rotation. You should note that the output torque is calculated in the asteroid-fixed frame, so you need to transform it to the inertial frame.</p><h2 id="References"><a class="docs-heading-anchor" href="#References">References</a><a id="References-1"></a><a class="docs-heading-anchor-permalink" href="#References" title="Permalink"></a></h2><p>For more details on the package development and the thermophysical model, refer to the following references:</p><ul><li><a href="https://doi.org/10.57350/jesa.206">Kanamaru et al. (2024)</a> - Thermophysical Model Development for Hera Mission to Simulate Non-Gravitational Acceleration on Binary Asteroid</li><li><a href="https://www.wakusei.jp/book/pp/2024/2024-3/235-242_p.pdf">金丸ほか (2024)</a> - 二重小惑星探査計画Heraに向けた小惑星熱物理モデルの開発 (in Japanese)</li></ul><p>The package contributes the following publications:</p><ul><li><a href="https://doi.org/10.1029/2021JE006863">Kanamaru et al. (2021)</a> - YORP Effect on Asteroid 162173 Ryugu: Implications for the Dynamical History</li><li><a href="https://iopscience.iop.org/article/10.3847/2041-8213/ad4f7f">Zhou et al. (2024)</a> - The Yarkovsky Effect on the Long-term Evolution of Binary Asteroids</li></ul></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="physical_model/">Physical model »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.17.0 on <span class="colophon-date" title="Wednesday 10 June 2026 03:09">Wednesday 10 June 2026</span>. Using Julia version 1.12.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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