You can usually tweak these parameters, but if you don’t, there need to be some default values and these default values are chosen with the above setup in mind. The step-size adaption in turn is governed by a lot of parameters like absolute tolerance, relative tolerance, minimum time step, etc. The reason for the above behaviour of integrators is that they use step-size adaption, i.e., the integration step is adjusted to keep the estimated error at a defined level. This typically fails for astronomical simulations where the orders of magnitude vary and values as well as time scales are often large in typical units. the smallest time scale of your dynamics also has the order of magnitude 1.your dynamical variables have the same order of magnitude.Most, if not all integration modules work best out of the box if:
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