# Examples by Topic

## Astrophysics

Physics
Astrophysics

### Celestial Mechanics

compute the orbital period of a massive body orbiting another

#### Kepler's third law, 4 solar masses, 5 Earth masses, 2.5 AU

interactively compute the orbital speed of a body

#### circular orbit speed

visualize relation between eccentric and true anomaly

#### mean anomaly 85 degrees eccentricity 0.6

compute locations of Lagrange points

#### Lagrange points Earth Moon

investigate the distance on an orbit based on its phase

### Luminosity

compute the luminosity of a star of specified mass

#### luminosity 10 solar masses

compute luminosity from apparent magnitude and distance

### Cosmology

compute cosmological properties of the universe

#### 1 billion years after the big bang

compute cosmological properties, given a redshift

### Black Holes

compute properties of a black hole

#### black hole 10 solar masses

compute properties of a rotating black hole

### Asteroid Impacts

calculate the outcome of an asteroid impact