New Methods of Celestial Mechanics

Indexed in: Scopus

The book attempts to explain the main features of celestial mechanics using a new and unique technique. Its emphasis, in terms of applications, is on the Solar System, including its most peculiar ...
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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.


Department of Mathematics Brock University Canada.