and now for some math...
(If something is wrong with this, please correct me)
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Given:
127.03 AU approximate distance traveled so far by Voyager 1
4.2421 ly is the approximate distance to nearest star from Earth
Find:
How long would it take at Voyager 1's average speed so far, to go the distance of Earth to Earth's nearest star?
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My Answer:
Approximately 76568 years. Last digits maybe off due to rounding, etc...?
Although, I got 76576 years from Qalculate with units, and 76566 years from Ti Voyage 200 with units.
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// Research:
127.03 AU is approximately 0.7336640935983627 light days
127.03 AU is approximately 0.002008662816152567 light years
From September 5, 1977 to December 7, 2013 is 13,242 days
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// Using Qalculate without units:
(4.2421ly)*(13242d)/(.73366ld*(ly/(365.25ld)))=___
(4.2421 ⋅ 13242) ∕ (0.73366 ∕ 365.25)
≈ 27965968.79351470709
days
((4.2421 ⋅ 13242) ∕ (0.73366 ∕ 365.25)) ∕ 365.2425
≈ 76568.22191698586
years
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// Using Qalculate with units:
4.2421⋅ly⋅13242⋅day/(127.03⋅AU) = (4.2421 ⋅ lightyear ⋅ 13242 ⋅ day) ∕ (127.03 ⋅ astronomical_unit)
≈ 2.4165557924 Ts
≈ 76.57603215692 kiloyears
// Qalculate Uses
ly = lightyear ≈ 9.46073047258 Pm
day = day = 86.4 ks
AU = astronomical_unit = 149.5787066 Gm
year = year = 31.5576 Ms
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// Using Ti Voyage 200 with units:
4.2421*_ltyr*13242*_day/(127.03*_au)
≈ 2.41619E12*_s
≈ 2416194140896.8*_s
≈ 76566.207457403*_yr
// Ti Voyage 200 uses
1*_ltyr = 9.4605284048794E15*_m
1*_day = 86400.*_s
1*_au = 149597900000.*_m
1*_yr = 365.24219878125*_day
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// Web Sources:
http://en.wikipedia.org/wiki/Voyager_1
http://en.wikipedia.org/wiki/List_of_nearest_stars
http://en.wikipedia.org/wiki/Light_year
http://en.wikipedia.org/wiki/Julian_year_%28astronomy%29
http://en.wikipedia.org/wiki/Year
http://www.convertunits.com/from/AU/to/light+day
http://www.convertunits.com/from/AU/to/light+year
http://www.timeanddate.com/date/durationresult.html?m1=9&d1=5&y1=1977&m2=12&d2=7&y2=2013
---
// Calculator Sources:
Voyage 200, Qalculate
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p.s. for those who want more digits in light days for my calculation...
((4.2421 ⋅ 13242) ∕ (0.7336640935983627 ∕ 365.25)) ∕ 365.2425
≈ 76567.79469211468