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Answer :
Final answer:
The star system Alpha Centauri, located 4.3 light years from the Solar System, is roughly 25.28 trillion miles or 272,137 astronomical units away.
Explanation:
To find the distance to Alpha Centauri in miles and astronomical units (au), we'll need to use the conversion factors for light years to these units. Let us define and perform the calculations step by step.
One light year is approximately 5.88 trillion miles and 63,241.1 astronomical units.
Therefore,
1) To find the distance in miles: multiply the distance in light years (4.3) by the number of miles in a light year (5.88 trillion). That should give you about 25.28 trillion miles.
2) To find the distance in astronomical units: multiply the distance in light years (4.3) by the number of au in a light year (63,241.1). That should yield approximately 272,137 au.
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Answer:
Distance of Alpha century in miles [tex]= 25.279 * 10^{12}[/tex]
Distance of Alpha century in Astronomical unit [tex]= 2.719 * 10^5[/tex]
Explanation:
Given
Distance of Alpha Centauri from the Solar System [tex]= 4.3[/tex] light year
Light year is the distance traveled by light in one year. Its a unit of measurement for distant celestial objects
One light year [tex]= 5.879 * 10^{12}[/tex] miles
Total number of miles in [tex]4.3[/tex] light years is equal to
[tex]4.3 * 5.879 * 10^{12}\\= 25.279 * 10^{12}[/tex]
Distance of Alpha century in miles [tex]= 25.279 * 10^{12}[/tex]
Number of astronomical units in one light year [tex]= 63241.1[/tex]
Total number of astronomical units in [tex]4.3[/tex] light years is equal to
[tex]4.3 * 63241.1\\= 2.719 * 10^5[/tex]
Distance of Alpha century in Astronomical unit [tex]= 2.719 * 10^5[/tex]
