Prolate spheroidal harmonic expansion of gravitational field
Journal Article
·
· Astronomical Journal (New York, N.Y. Online)
- National Astronomical Observatory, Ohsawa, Mitaka, Tokyo 181-8588 (Japan)
As a modification of the oblate spheroidal case, a recursive method is developed to compute the point value and a few low-order derivatives of the prolate spheroidal harmonics of the second kind, Q{sub nm} (y), namely the unnormalized associated Legendre function (ALF) of the second kind with its argument in the domain, 1 < y < ∞. They are required in evaluating the prolate spheroidal harmonic expansion of the gravitational field in addition to the point value and the low-order derivatives of P-bar {sub nm}(t), the 4π fully normalized ALF of the first kind with its argument in the domain, |t| ≤ 1. The new method will be useful in the gravitational field computation of elongated celestial objects.
- OSTI ID:
- 22340223
- Journal Information:
- Astronomical Journal (New York, N.Y. Online), Journal Name: Astronomical Journal (New York, N.Y. Online) Journal Issue: 6 Vol. 147; ISSN 1538-3881
- Country of Publication:
- United States
- Language:
- English
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