The structure of the lecture program and the selection of the lecturers are determined by three key facts or conditions:
- SST observations can be used in three ways: as range perturbations, velocity perturbations or acceleration perturbations.
- The estimation of gravity parameters is strongly interconnected with the estimation of orbit parameters, i.e., of the position and velocity of the twin SST satellites.
- Advanced stochastic modeling in the parameter estimation process is needed to improve the gravity results.
The three ways to use SST observations lead to three estimation approaches, which are reflected in the lecture program:
- The classical (or variational) approach
- The energy balance approach
- The acceleration approach
The novelty of the autumn school is that it will teach all three approaches, combined with the required treatment of orbit modeling and stochastic modeling.
Each day of the school from Monday to Friday will be dedicated to one out of 5 core topics. On each of the 5 days, there will be a block of theory lectures with introductory character in the morning, while the afternoon is reserved for intensive computer exercises to analyze real SST satellite data.
Each of the lecturers on the core topics is responsible for one full day until dinner, including theory and corresponding exercises. The core topics for Monday (theory of parameter estimation) and Tuesday (orbit determination) are a prerequisite for the remaining three core topics. Wednesday is dedicated to the classical approach, Thursday to the acceleration approach, and Friday to the energy balance approach. The concept of the school will prepare the participants for upcoming challenges in the analysis of SST data.
Day 1: Theory of parameter estimation in satellite gravimetry
Day 2: Orbit determination
Day 3: Classical (variational) approach
Day 4: Acceleration approach
Day 5: Energy balance approach
Reiner Rummel: Satellite gravimetry – an overview
Jakob Flury: Sensor systems in satellite gravimetry
Gerhard Heinzel: GRACE Follow-On
Torsten Mayer-Gürr: Gravity recovery using the short arc approach
Claus Lämmerzahl: Relativistic Geodesy
For each of the core topics, the theory lectures of the morning are followed by computer exercises in the afternoon. The exercises are done in groups of 3 or 4 students. Here, they will apply the theory and obtain a much deeper understanding of the principles of SST data analysis and global gravity field modeling. On Monday students will practice their skills on stochastic modeling. On the following days, students will use real GRACE data to compute their own GRACE orbit solutions (Tuesday) and GRACE global gravity models (Wednesday to Friday). Students will use their laptop computers with standard mathematical software such as Matlab. The scientific organizers will provide the GRACE data that are needed for the exercises. They will also provide several spare laptop computers in case that some students will need them.