Cases

Dilation factors

Circulation time, t

Circumference c

Radius r

Velocity v

w/o dilation

1

$t_N$

$c_N=2\text{π}{r}_N$

$r_N$

$v_N=c_N/t_N$

dilated

$F_2\mathrm{,}{F}_3$

$t_d=t_N{F}_2$

$c_d=c_N{F}_2$

$r_d=r_N{F}_3$

$v_d=v_N$

observed

-

$t_o=t_N$

$c_o=2\text{π}{r}_o$

$r_o=r_d=r_N{F}_3$

$v_o=c_o/t_o$

Example:

w/o dilation

1

100

628

100

6.28

dilated

1.1, 1.05

110

690.8

105

6.28

observed

-

$t_o=t_N=100$

$c_o=c_N=660$

105

6.6