Example calculation for A012113

From spectra:

Velocity away from us = 800 km/s = 8 × 107 cm/s

Using Hubble's law:

Distance = V / 2.43 × 10-18 = 3.3 × 1025 cm

From optical picture:

Angular diameter = 15 Arc min

Using distance, angular diameter, and trigonometry:

Radius of galaxy = Distance x Diameter / (2 x 3437) = 7.2 × 1011 cm

From spectra:

Velocity width = 500 km/s = 5 × 107 cm/s

Rotational velocity = velocity width / 2 = 250 km/s = 2.5 × 107 cm/s

Mass = radius x rotational velocity2 / G = 6.7 × 1044 grams = 3 × 1011 times the mass of the Sun