The best freeware would be NASA's GMAT (link given below). It has orbit analysis, optimization tools, and Matlab integration. Also, there are several plugins available for GMAT for other systems like communications, power etc. 

https://gmat.gsfc.nasa.gov/

Thank dear Akash

I have used GMAT in my previous  papers

https://www.researchgate.net/publication/290450431_Orbit_Design_and_Simulation_for_Kufasat_Nanosatellite

https://www.researchgate.net/publication/291328762_TIGRISAT_Orbital_MotionSimulation_and_Analysis

but GMAT does not include life time calculation

Article Orbit Design and Simulation for Kufasat Nanosatellite

Article TIGRISAT Orbital MotionSimulation and Analysis

Please see the paper below. the same can be programmed in matlab and integrated inside the script file

http://www.sws.bom.gov.au/Category/Educational/Space%20Weather/Space%20Weather%20Effects/SatelliteOrbitalDecayCalculations.pdf

Give a try at GAMIT or BERNESE, may be you'll find something there,

SaVoir is quiet powerfull, and quiet expandable as it offers (for a price) all it functionalities as libraries which can be used in your own software:

http://www.taitussoftware.com/savoir

Of course, if you do not need the full analysis and visualization tools, but only the mathematical implementations for orbital propagation and then do your own interpretation with offline tools, Orekit can give you this for free:

https://www.orekit.org/

I suggest you to clearly define your meaning of "orbit analysis" and "life time calculation" at first.

"Orbit analysis" includes many.

"Life time calculation" is closely related to the dynamic model you used, the shape model of the objects, how you define a "re-entry", how accurate you expected, and so many other factors.

Assume you are referring to exactly the STK functions, it could be a better practice to figure out what STK does when you request for a "lifetime report", including models, algorithms, accuracy among others. But most probably AGI will not tell you everything in their documents, and then you need textbooks, google, and time.

Dear why you do not use MATLAP software to do so?

regards

No part in MATLAB can help in orbit analysis .STK software install on MATLAB to be part of it.

Many thanks to your interest

Dear Mohammed, thank you for your answe ,but I cant get Satellite tool kit software in my area so, I try find another software instead of it

Asalamualaikum .

• Dear Brother Muhammad. I use STK ver 10.1 download from internet. STK can give you analysis interm of ECI, ECEF, sun model, igrf

I would recommend you FDS by GMV. It was great, and user friendly.