Solar System Equations of Motion

Available identifiers

WikidataQ7069658 ScholiaQ7069658MaRDI QIDQ6674575

mathematical formulation describing the motion of the planets around the sun

The acceleration of a celestial body can be calculated from Newton's Law of Gravitation. Each body attracts each other body, the total acceleration being the sum of all these attractions.

Defining Formula: ${\vec{a}}_{j} = \sum_{i \neq j}^{n} G \frac{M_{i}}{\| {\vec{r}}_{i} - {\vec{r}}_{j} \|^{3}} ({\vec{r}}_{i} - {\vec{r}}_{j})$
$G$ symbol represents Gravitational Constant
$a$ symbol represents Classical Acceleration
$m$ symbol represents Mass
$r$ symbol represents Classical Position