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HandWiki. Specific Relative Angular Momentum. Encyclopedia. Available online: https://encyclopedia.pub/entry/34164 (accessed on 09 October 2026).
HandWiki. Specific Relative Angular Momentum. Encyclopedia. Available at: https://encyclopedia.pub/entry/34164. Accessed October 09, 2026.
HandWiki. "Specific Relative Angular Momentum" Encyclopedia, https://encyclopedia.pub/entry/34164 (accessed October 09, 2026).
HandWiki. (2022, November 11). Specific Relative Angular Momentum. In Encyclopedia. https://encyclopedia.pub/entry/34164
HandWiki. "Specific Relative Angular Momentum." Encyclopedia. Web. 11 November, 2022.
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In celestial mechanics the specific relative angular momentum [math]\displaystyle{ \vec{h} }[/math] plays a pivotal role in the analysis of the two-body problem. One can show that it is a constant vector for a given orbit under ideal conditions. This essentially proves Kepler's second law. It's called specific angular momentum because it's not the actual angular momentum [math]\displaystyle{ \vec{L} }[/math], but the angular momentum per mass. Thus, the word "specific" in this term is short for "mass-specific" or divided-by-mass: Thus the SI unit is: m2·s−1. [math]\displaystyle{ m }[/math] denotes the reduced mass [math]\displaystyle{ \frac{1}{m} = \frac{1}{m_1}+\frac{1}{m_2} }[/math].
celestial mechanics
angular momentum
divided-by-mass
References
- The derivation of the specific angular momentum works also if one does not make this assumption. Then the gravitational parameter is [math]\displaystyle{ \mu = G\left(m_1 + m_2\right) }[/math].
- Vallado, David Anthony (2001). Fundamentals of Astrodynamics and Applications. Springer. p. 24. ISBN 0-7923-6903-3. https://books.google.com/books?id=PJLlWzMBKjkC&printsec.
- Vallado, David Anthony (2001). Fundamentals of Astrodynamics and Applications. Springer. p. 28. ISBN 0-7923-6903-3. https://books.google.com/books?id=PJLlWzMBKjkC&printsec.
- Vallado, David Anthony (2001). Fundamentals of Astrodynamics and Applications. Springer. p. 30. ISBN 0-7923-6903-3. https://books.google.com/books?id=PJLlWzMBKjkC&printsec.
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