Microstrip antennas are very popular for their conformability and low-profile properties. There has been a plethora of work utilizing experimental, simulation, analytical, and computational techniques to investigate microstrip antennas on planar grounded media. Numerous but relatively less works on non-planar microstrip radiating structures also exist in the literature. These works are usually done using commercially available 3D EM simulation software platforms. However, there is still quite a lot of room for investigation of conformal microstrip antennas mounted on cylindrical and conical structures, such as a lack of existence of a modal chart for cylindrical conformal microstrip antennas. Specifically, there is a need for a theoretical investigation of microstrip antennas on cylindrical and conical surfaces as it provides proper physical insight. Theoretical investigation can also fill the gap in research by providing a detailed analysis of exact solutions to calculate antenna parameters. In this work, spectral domain method of moment technique is applied for its computational efficiency to investigate cylindrical conformal rectangular antenna. Green&rsquos function is computed using Galerkin's technique. The voltage matrix is going to be computed using reciprocity theorem. Mode matching technique is going to be used to analyze microstrip antennas mounted on conical structures. Finally, the impedance matrix can be calculated after deriving the [𝑍][𝐼] = [𝑉] matrix equation. The mathematical computations are to be written using in-house MATLAB codes. No pre-defined library functions are to be used. To calculate integrals, computational and numerical techniques such as Gaussian Quadrature will be employed. Other techniques to calculate integrations such as Simpson&rsquos one-third rule and Trapezoidal rule can also be used to get a comparison and parametric study. Antenna parameters such as resonant frequency (𝑓𝑟), input impedance (𝑍𝑖𝑛 ), reflection coefficient (𝑆11) in dB, antenna efficiency (𝜂), Q-factor, gain, bandwidth, and radiation patterns in the far field will be calculated from these techniques. These are important since they have plenty of contemporary and future applications in domains such as defence, wearable technologies, and other commercial applications.