2006-10-02 15:10:57 · 5 answers · asked by shardeles76 1 in Science & Mathematics ➔ Mathematics
Suppose they align today. They should align after integral multiple of 6,9,15,18, That is after LCM of 6,9,15,18
LCM(6,9) = 18
LCM(18,15) = 90
so after 90 years. 1st shall have completed 15 second 10 3rd 6 and 4th 4 revolutions
2006-10-02 17:22:06 · answer #1 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
Cal the planets and their periods A, B,C, & D
Synodic periods:
AB = 9*6/(9-6) = 18
AC = 15*6/(15-6) = 15
AD = 18*6/(18-6) = 9
BC = 15*9/(15-9) = 22.5
BD = 9*18/(18-9) = 18
CD = 18*15/(18-15) = 90
2*3
3*3
3*5
2*3*3
LCM=2*3*3*5=90
The smallest number of years would be 90, which is also the synodic period of C & D
2006-10-02 22:30:36 · answer #2 · answered by Helmut 7 · 0⤊ 1⤋
There's an alignment of Jupiter, Saturn, Mars and Uranus that happens only every two thousand years.
It depends a lot of which four planets you are talking about.
The inner planets (Mercury, Venus, Earth and Mars) align more frequently.
You might look at how long the Martian orbit is.
2006-10-02 22:24:20 · answer #3 · answered by loryntoo 7 · 0⤊ 0⤋
The same procedure as finding the lowest common denominator. Factor each number into its primes and find a number which contains all factors.
2006-10-02 22:19:10 · answer #4 · answered by rscanner 6 · 0⤊ 0⤋
Hint: Find the smallest number that divides all these numbers.
2006-10-02 22:16:06 · answer #5 · answered by Anonymous · 0⤊ 0⤋