wpeCB.jpg (12404 bytes)

rwbline.jpg (1964 bytes)

For anyone interested in the formulas, and to check the math, here they are:

Years =SUM((299792458*0.1)/((%POTSOL)*9.81))/3600/24/365

Days =SUM((299792458*0.1)/((%POTSOL)*9.81))/3600/24

These formulas are arrived at using the fact that TSOL is 299,792,458 meters per second.  One gravity (as we measure it) is 9.81 meters per second per second (or 9.81m/s2).  One hour is equal to (60secondsX60minutes=3600 seconds), one day equals 24 hours, one year is equal to 365 days (no leap years calculated).  The %POTSOL is simply the percentage of the speed of light, such as 10%, 20%, etc.  and is notated by a decimal point preceding the number (i.e. 10% being displayed as .1).


Desired Velocity

(drive run up time measured in days)

 

Acc / Dec

(G 9.81m/s2)

0.1c

0.2c

0.3c

0.4c

0.5c

0.6c

0.7c

0.8c

0.9c

0.99c

0.999c

0.9999c

0.99999c

POTSOL

1

35.37

70.74

106.11

141.48

176.85

212.22

247.59

282.96

318.33

350.17

353.35

353.67

353.70

days

2

17.69

35.37

53.06

70.74

88.43

106.11

123.80

141.48

159.17

175.08

176.67

176.83

176.85

days

3

11.79

23.58

35.37

47.16

58.95

70.74

82.53

94.32

106.11

116.72

117.78

117.89

117.90

days

4

8.84

17.69

26.53

35.37

44.21

53.06

61.90

70.74

79.58

87.54

88.34

88.42

88.42

days

5

7.07

14.15

21.22

28.30

35.37

42.44

49.52

56.59

63.67

70.03

70.67

70.73

70.74

days

6

5.90

11.79

17.69

23.58

29.48

35.37

41.27

47.16

53.06

58.36

58.89

58.94

58.95

days

7

5.05

10.11

15.16

20.21

25.26

30.32

35.37

40.42

45.48

50.02

50.48

50.52

50.53

days

8

4.42

8.84

13.26

17.69

22.11

26.53

30.95

35.37

39.79

43.77

44.17

44.21

44.21

days

9

3.93

7.86

11.79

15.72

19.65

23.58

27.51

31.44

35.37

38.91

39.26

39.30

39.30

days

10

3.54

7.07

10.61

14.15

17.69

21.22

24.76

28.30

31.83

35.02

35.33

35.37

35.37

days

11

3.22

6.43

9.65

12.86

16.08

19.29

22.51

25.72

28.94

31.83

32.12

32.15

32.15

days

12

2.95

5.90

8.84

11.79

14.74

17.69

20.63

23.58

26.53

29.18

29.45

29.47

29.47

days

13

2.72

5.44

8.16

10.88

13.60

16.32

19.05

21.77

24.49

26.94

27.18

27.21

27.21

days

14

2.53

5.05

7.58

10.11

12.63

15.16

17.69

20.21

22.74

25.01

25.24

25.26

25.26

days

15

2.36

4.72

7.07

9.43

11.79

14.15

16.51

18.86

21.22

23.34

23.56

23.58

23.58

days

16

2.21

4.42

6.63

8.84

11.05

13.26

15.47

17.69

19.90

21.89

22.08

22.10

22.11

days

17

2.08

4.16

6.24

8.32

10.40

12.48

14.56

16.64

18.73

20.60

20.79

20.80

20.81

days

18

1.97

3.93

5.90

7.86

9.83

11.79

13.76

15.72

17.69

19.45

19.63

19.65

19.65

days

19

1.86

3.72

5.58

7.45

9.31

11.17

13.03

14.89

16.75

18.43

18.60

18.61

18.62

days

20

1.77

3.54

5.31

7.07

8.84

10.61

12.38

14.15

15.92

17.51

17.67

17.68

17.68

days

21

1.68

3.37

5.05

6.74

8.42

10.11

11.79

13.47

15.16

16.67

16.83

16.84

16.84

days

22

1.61

3.22

4.82

6.43

8.04

9.65

11.25

12.86

14.47

15.92

16.06

16.08

16.08

days

23

1.54

3.08

4.61

6.15

7.69

9.23

10.76

12.30

13.84

15.22

15.36

15.38

15.38

days

24

1.47

2.95

4.42

5.90

7.37

8.84

10.32

11.79

13.26

14.59

14.72

14.74

14.74

days

25

1.41

2.83

4.24

5.66

7.07

8.49

9.90

11.32

12.73

14.01

14.13

14.15

14.15

days

26

1.36

2.72

4.08

5.44

6.80

8.16

9.52

10.88

12.24

13.47

13.59

13.60

13.60

days

27

1.31

2.62

3.93

5.24

6.55

7.86

9.17

10.48

11.79

12.97

13.09

13.10

13.10

days

28

1.26

2.53

3.79

5.05

6.32

7.58

8.84

10.11

11.37

12.51

12.62

12.63

12.63

days

29

1.22

2.44

3.66

4.88

6.10

7.32

8.54

9.76

10.98

12.07

12.18

12.20

12.20

days

30

1.18

2.36

3.54

4.72

5.90

7.07

8.25

9.43

10.61

11.67

11.78

11.79

11.79

days

31

1.14

2.28

3.42

4.56

5.70

6.85

7.99

9.13

10.27

11.30

11.40

11.41

11.41

days

32

1.11

2.21

3.32

4.42

5.53

6.63

7.74

8.84

9.95

10.94

11.04

11.05

11.05

days

33

1.07

2.14

3.22

4.29

5.36

6.43

7.50

8.57

9.65

10.61

10.71

10.72

10.72

days

34

1.04

2.08

3.12

4.16

5.20

6.24

7.28

8.32

9.36

10.30

10.39

10.40

10.40

days

35

1.01

2.02

3.03

4.04

5.05

6.06

7.07

8.08

9.10

10.00

10.10

10.10

10.11

days

36

0.98

1.97

2.95

3.93

4.91

5.90

6.88

7.86

8.84

9.73

9.82

9.82

9.82

days

37

0.96

1.91

2.87

3.82

4.78

5.74

6.69

7.65

8.60

9.46

9.55

9.56

9.56

days

38

0.93

1.86

2.79

3.72

4.65

5.58

6.52

7.45

8.38

9.21

9.30

9.31

9.31

days

39

0.91

1.81

2.72

3.63

4.53

5.44

6.35

7.26

8.16

8.98

9.06

9.07

9.07

days

40

0.88

1.77

2.65

3.54

4.42

5.31

6.19

7.07

7.96

8.75

8.83

8.84

8.84

days

41

0.86

1.73

2.59

3.45

4.31

5.18

6.04

6.90

7.76

8.54

8.62

8.63

8.63

days

42

0.84

1.68

2.53

3.37

4.21

5.05

5.90

6.74

7.58

8.34

8.41

8.42

8.42

days

43

0.82

1.65

2.47

3.29

4.11

4.94

5.76

6.58

7.40

8.14

8.22

8.22

8.23

days

44

0.80

1.61

2.41

3.22

4.02

4.82

5.63

6.43

7.23

7.96

8.03

8.04

8.04

days

45

0.79

1.57

2.36

3.14

3.93

4.72

5.50

6.29

7.07

7.78

7.85

7.86

7.86

days

46

0.77

1.54

2.31

3.08

3.84

4.61

5.38

6.15

6.92

7.61

7.68

7.69

7.69

days

47

0.75

1.51

2.26

3.01

3.76

4.52

5.27

6.02

6.77

7.45

7.52

7.52

7.53

days

48

0.74

1.47

2.21

2.95

3.68

4.42

5.16

5.90

6.63

7.30

7.36

7.37

7.37

days

49

0.72

1.44

2.17

2.89

3.61

4.33