Data smoothing algorithms?

[Anthra Norell]

Hi,

The following are differences of solar declinations from one day to the next, (never mind the unit). Considering the inertia of a planet, any progress of (apparent) celestial motion over regular time intervals has to be highly regular too, meaning that a plot cannot be jagged. The data I googled out of Her Majesty's Nautical Almanac are merely nautical precision and that, I suppose, is where the jitter comes in. There's got to be algorithms out there to iron it out. If it were a straight line, I could do it. But this, over the whole year, is a wavy curve, somthing with a dominant sine component. Suggestions welcome.

Frederic

< snip >
2008.05.29    -2.754  XXXXXXXXXXXXXXXXXXXXXXXXXX
2008.05.30    -2.614  XXXXXXXXXXXXXXXXXXXXXXXXXXX
2008.05.31    -2.798  XXXXXXXXXXXXXXXXXXXXXXXXXX
2008.06.01    -3.048  XXXXXXXXXXXXXXXXXXXXXXX
2008.06.02    -3.092  XXXXXXXXXXXXXXXXXXXXXXX
2008.06.03    -3.092  XXXXXXXXXXXXXXXXXXXXXXX
2008.06.04    -3.527  XXXXXXXXXXXXXXXXXX
2008.06.05    -3.385  XXXXXXXXXXXXXXXXXXXX
2008.06.06    -3.573  XXXXXXXXXXXXXXXXXX
2008.06.07    -3.820  XXXXXXXXXXXXXXX
2008.06.08    -3.865  XXXXXXXXXXXXXXX
2008.06.09    -3.865  XXXXXXXXXXXXXXX
2008.06.10    -3.865  XXXXXXXXXXXXXXX
2008.06.11    -3.865  XXXXXXXXXXXXXXX
2008.06.12    -3.429  XXXXXXXXXXXXXXXXXXX
2008.06.13    -4.011  XXXXXXXXXXXXX
2008.06.14    -4.109  XXXXXXXXXXXX
2008.06.15    -4.348  XXXXXXXXXX
2008.06.16    -4.155  XXXXXXXXXXXX
2008.06.17    -4.348  XXXXXXXXXX
2008.06.18    -4.155  XXXXXXXXXXXX
2008.06.19    -3.912  XXXXXXXXXXXXXX
2008.06.20    -4.302  XXXXXXXXXX
2008.06.21    -4.155  XXXXXXXXXXXX
2008.06.22    -4.349  XXXXXXXXXX
2008.06.23    -4.155  XXXXXXXXXXXX
2008.06.24    -3.913  XXXXXXXXXXXXXX
2008.06.25    -3.866  XXXXXXXXXXXXXXX
2008.06.26    -4.303  XXXXXXXXXX
2008.06.27    -4.155  XXXXXXXXXXXX
2008.06.28    -3.913  XXXXXXXXXXXXXX
2008.06.29    -3.866  XXXXXXXXXXXXXXX
< snip >

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