Is this equation correct? d/dt(-μr/|r|) = (μ/|r|³)(r·ṙ)r - μṙ/|r|, where μ is an arbitrary constant, and r = r(t) is a vector. Apparently is it, but I don't see how, please explain... Thanks.
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Originally Posted by feyomi Is this equation correct? d/dt(-μr/|r|) = (μ/|r|³)(r·ṙ)r - μṙ/|r|, where μ is an arbitrary constant, and r = r(t) is a vector. Apparently is it, but I don't see how, please explain... Thanks. Pull out the and consider . You see it now?
Originally Posted by feyomi Is this equation correct? d/dt(-μr/|r|) = (μ/|r|³)(r·ṙ)r - μṙ/|r|, where μ is an arbitrary constant, and r = r(t) is a vector. Apparently is it, but I don't see how, please explain... Thanks. That equation is correct. WLOG, suppose Note that So apply quotient rule to keeping in mind what I showed you above. You should then be able to justify this equation. Can you take it from here?
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