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Halleyscher Komet

About points...

We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
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That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.

About difficulty...

We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.

That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:

Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise

Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise

Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise

Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise

Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/halleyscher-komet/

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Exercise:
Seit mehr als Jahren beobachtet man den regelmässig wiederkehren Halleyschen Kometen. Im Jahr durchlief er den Perihel seiner Bahn und hatte dabei einen Abstand von Millionen Kilometern. Erst im Jahr wird er wieder diesen sonnennächsten Punkt seiner Umlaufbahn erreichen. abcliste abc Bestimme die grosse Halbachse seiner Umlaufbahn in Vielfachen der Astronomischen Einheit. abc Bestimme den grössten Abstand des Kometen von der Sonne im Aphel. abcliste

Solution:
newqtytey newqtyroekm newqtyrem newqtytzy newqtyTEy newqtyaEAE newqtyaEm.em % Geg t_ te r ro r t_ tz % abclist abc GesGrosse Halbachsea sim % Die Umlaufzeit des Kometen um die Sonne beträgt solqtyTt_-t_tzn-teny al T Tf tz - te TTT. % Seine grosse Halbachse ist demnach Vergleich mit Erde solqtyaa_EarthIndex sqrtfract_-t_^T_EarthIndex^aEn*Tn**/TEn**^/AE solqtyaman*.em al a a_EarthIndex sqrtfracT^T_EarthIndex^ af aE sqrtfracqtyTTT^qtyTE^ aTTTT. % a af aTT % abc GesMaximaler Abstandsscdmax sim % Die lineare Exzentrität des Kometen ist solqtyeaf - ramn-rnm al e a - r ef am - r e. % Die Distanz im Aphel ist somit solqtydaf - ramn+enm al d a + e af + ef df am + e d. % d df dII abclist

Meta Information

\(\LaTeX\)-Code

Contained in these collections:

Keplersche Gesetze by uz

6 | 8
Keplersche Gesetze by pw

5 | 6

Attributes & Decorations

Tags	astronomie, erde, gesetze, halley, himmelsmechanik, kepler, keplersche, komet, mechanik, physik
Content image
Difficulty	(3, default)
Points	6 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
Decoration
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