For a time he remained crouching, and when at last he looked out again the little town was very small and travelling, with the rest of lower Germany, in a circular orbit
round and round the car--or atleast it appeared to be doing that.
Even today almost every discussion of discs assumes - essentially for convenience - that they have the simplest possible geometry, with gas orbiting the central object in a single plane, and on smooth circular orbits
. This approach prevents us considering real physical effects which underly observed phenomena.
If Earth and Mars both were in circular orbits
in the same plane, the opposition and closest approach would have occurred on the same day.
Cho and McClamroch proposed an optimal orbit transfer method in which a continuous thrust on the base satellite is controlled to achieve orbital transfer between two circular orbits
We notice that for a nonzero value of J, the effective potential acquires a minimum, implying that stable circular orbits
It's thought that hot Jupiters start out in circular orbits
similar to that of our own Jupiter, far away from their stars.
Earth and its siblings travel along nearly circular orbits
in almost the same plane.
In order to lower the technical difficulties, routine rendezvous missions are often expected to be conducted in circular orbits
. However, an ideal circular orbit
is hard to achieve and maintain; as a result, most of the spacecraft rendezvous were actually accomplished in the target orbits with small eccentricities; therefore, adopting a proper and accurate plant model is a prerequisite for the design of the rendezvous controller.
The qualitative agreements with QM are (i) the angular momenta of the unperturbed circular orbits
are approximately integer multiples of a basic angular momentum agreeing with Planck's constant within thirty percent; (ii) the emitted frequency is the difference of two eigenvalues of a suitable linear problem; and (iii) the Weierstrass-Erdmann conditions involve the continuity of momenta and energies, which are the relevant quantities of QM.
For circular orbits
or nearly circular orbits
there is a principal number n = m + 1 associated with the energy per unit mass quantization for a QCM state
The results obtained here are valid for the special case of circular orbits
for the perturbing body and with the initial mean anomaly of the perturbing body equal to zero.
Among the 42 papers here are discussions of the thermalization of pair plasma with proton loading, semi-classical isotopization of the Mixmaster universe, circular orbits
in the field of a quasi-spherical source, the role of time gauge in quantizing gravity, neutrino mass differences from interfering recoil ions, and the extended nuclear matter model with a smooth transition surface.