...the inequality in the motion of Jupiter and Saturn...
In the 17th century observers noticed an increase in orbital velocity of the planet
Jupiter and a deceleration of the planet Saturn. It was unclear if this phenomenon
was part of a larger cyclic variation in the orbital speed of both planets or that it would
end in a head-on collision of Jupiter with the sun and Saturn leaving the solar system.
In 1748 the Academy of Sciences in Paris announced a prize for the best memoir on
A Theory of Saturn and of Jupiter, by which one can explain the inequalities
that the two planets appear to cause in each other's motion, principally near the time of their conjunction
Source: Stigler (1986)
Some remarks on the work of Euler
and Laplace
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