Hello,
After reading about the trajectory calculations in Section 4.2 I have a few questions about the nature of these calculation. I am finding it difficult how one can intuitively justify the equation for the final position or come up with a derivation.
1. The final position is donated as P(t+dt) which is defined at the same time as the first guess-position P'(t+dt), so when the tutorial states the final position does it actually mean the final guess for the position at t+dt?
2. Is it possible to include averages of three velocities later in time so:
Q(t+dt) = P(t) + 1/3 (V(P,t) +V(P't+dt) +V(P,t+dt))dt
3. Is it possible to refer to any literature or papers that describes this integration method in more detail within this context?
Many Thanks
Trajectory Advection Calculation
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ariel.stein
- Posts: 660
- Joined: November 7th, 2012, 3:14 pm
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Re: Trajectory Advection Calculation
Please check the following references:
Trajectory Optimization for Balloon Flight Planningthis link opens in a new window - Draxler, R.R. 1996, Weather and Forecasting, Vol 11, March, pp. 111-114.
Boundary layer isentropic and kinematic trajectories during the August 1993 North Atlantic Regional Experiment Intensive this link opens in a new window - Draxler, R.R. 1996, J. Geophys. Res., Vol 101, No. D22, pp. 29255-29268.
Trajectory Optimization for Balloon Flight Planningthis link opens in a new window - Draxler, R.R. 1996, Weather and Forecasting, Vol 11, March, pp. 111-114.
Boundary layer isentropic and kinematic trajectories during the August 1993 North Atlantic Regional Experiment Intensive this link opens in a new window - Draxler, R.R. 1996, J. Geophys. Res., Vol 101, No. D22, pp. 29255-29268.