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\label{table1}Time of travel parameters for the scenario given where a spaceship travels out to a planet at constant speed \(v\), relative to the Earth, and returns back at constant speed \(v\), relative to the planet. In this example the planet has initial distance from Earth of \(x_{po}=10\) light years and constant speed \(u=0.1c\) away from the Earth.


\(v\)
\(w\)
\(x_{turn}\)
\(\Delta t_{out}\)
\(\Delta t_{back}\)
\(\Delta t_{tot}\)

(\(c\))
(\(c\))
(light years)
(years)
(years)
(years)

0.1
–
\(\infty\)
\(\infty\)
–
–

0.5
-0.4210
12.50
25.00
29.69
54.68

1.0
-1.000
11.11
11.11
11.11
22.22

5.0
-9.800
10.20
2.041
1.041
3.082

10.0
\(\pm\) \(\infty\)
10.10
1.010
0.000
1.010

15.0
29.80
10.07
0.6711
-0.3378
0.3333

19.95
19.95
10.05
0.5038
-0.5038
0.0000

30.0
14.95
10.03
0.3344
-0.6711
-0.3367

\(\infty\)
10.00
10.00
0.000
-1.000
-1.000

\(v\)	\(w\)	\(x_{turn}\)	\(\Delta t_{out}\)	\(\Delta t_{back}\)	\(\Delta t_{tot}\)
(\(c\))	(\(c\))	(light years)	(years)	(years)	(years)
0.1	–	\(\infty\)	\(\infty\)	–	–
0.5	-0.4210	12.50	25.00	29.69	54.68
1.0	-1.000	11.11	11.11	11.11	22.22
5.0	-9.800	10.20	2.041	1.041	3.082
10.0	\(\pm\) \(\infty\)	10.10	1.010	0.000	1.010
15.0	29.80	10.07	0.6711	-0.3378	0.3333
19.95	19.95	10.05	0.5038	-0.5038	0.0000
30.0	14.95	10.03	0.3344	-0.6711	-0.3367
\(\infty\)	10.00	10.00	0.000	-1.000	-1.000