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SUNDAY PUZZLE #57
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english According to Kepler's laws the orbit of the Earth is an ellipse with the Sun at one of the two foci (f). Moreover, a line segment joining our planet and the Sun sweeps out equal areas during equal intervals of time (thus, sectors A1, A2 and A3 are of the same area). If gravity suddenly disappeared, would this still be true?
francais Selon la 2ème loi de Kepler, le mouvement de la Terre est tel que le segment de droite reliant le soleil et notre planète balaie des aires égales pendant des durées égales (les secteurs A1, A2 et A3 sont de même aire). Si d’un coup la force de gravité venait à disparaître, cette loi serait-elle toujours valable ?
italiano Secondo la seconda legge di Keplero, il raggio vettore che congiunge il sole alla Terra copre lungo l'orbita aree uguali, in tempi uguali (ne consegue che i settori A1, A2 e A3 hanno la stessa area). Se d’un colpo la forza di gravità sparisse, questa legge sarebbe sempre valida?

Sunday puzzle

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Text and images by Gianni A. Sarcone 
Labels: SUNDAY PUZZLE, puzzles to solve, recreational mathematics
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