New Methods of Celestial Mechanics


Jan Vrbik

DOI: 10.2174/97816080518781100101000i
eISBN: 978-1-60805-187-8, 2010
ISBN: 978-1-60805-688-0

Indexed in: Scopus, EBSCO.

The book attempts to explain the main features of celestial mechanics using a new and unique technique. Its emphasis, in terms of appl...[view complete introduction]
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Other Perturbations

- Pp. 103-111 (9)

Jan Vrbik


In this chapter we briefly discuss most of the remaining perturbing forces. None of them have an explicit time dependence, which simplifies the resulting differential equations for the orbital elements (making them autonomous). Furthermore, the results are developed only to the first-order-in-ε accuracy. With the exception of the distant-source radiation, all perturbing forces discussed here act within the orbital plane; we can thus treat all quantities as complex (no quaternions needed) — this also eliminates θ and φ from our orbital-element list. Finally (with the same single exception), the perturbing forces involve no special, fixed direction, which eliminates ψ from the right hand side of the resulting differential equations, making them functions of a and β only.

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