Sentence examples for orbital integration from inspiring English sources

The formulae combined from these limited equations will represent the results of orbital integration unless e≥1 or i>π−H/a.

These formulae are given in a very simple way, but they are in good agreement with the results of orbital integration if i

The orbital integration shows that the secular variations in three orbital elements – the ascending node, the argument of perigee, and the mean anomaly at epoch – are larger than the systematic error as results of the relativistic perturbations.

Analytic formulae for low e (gray dotted curves), given by Equations (11) to (13), and ones for high e (gray dashed curves), given by Equations (14) to (16), are in good agreement with the results of orbital integration (open circles) for low e or high e, respectively.

Analytic formulae for low i (gray dotted curves), given by Equations (11) to (13), and those for high i (gray dashed curves), given by Equations (30) to (32), are in good agreement with the results of orbital integration (open circles) for i≪H/a and i≫H/a, respectively.

We present a series of orbital integrations designed to determine whether the orbit of Comet 2P/Encke can simply be the result of gravitational interactions between Jupiter-family comets and the terrestrial planets.

For i=0.01, Equations (11) to (13) are compared with the results of orbital integrations in Figure 1.

Orbital integrations find that Neptune prolongs the lifetime of the inwardly migrating dust grains outside its orbit, imprinting its resonance structure on the spatial density of dust in the Edgeworth-Kuiper belt.

The derived formulae are in good agreement with the results of orbital integrations for e≪1 and i≪H a 2/a 2. While Adachi et al. (1976) provided the term of i 3 in (dot a), they did not take into account the vertical dependence of ρ, which includes other i 3 terms.

Since the increase of BDS satellite numbers, many researches have focused on assessing BDS position precision, orbital determination and integration of BDS with other satellite navigation systems.

Due to the lack of orbital flatness, these results involve integration of a zero dynamics.