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 [17].

We notice that for a nonzero value of J, the effective potential acquires a minimum, implying that stable

circular orbits might exist.

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.