I posted an same question to another community Video Production that I've found later, and which seems to be a better place for this question:

See: https://video.stackexchange.com/questions/12156/how-can-i-convert-mts-file-avchd-to-mp4-by-ffmpeg-without-re-encoding-h264-v/

1. What I tried

I have some .MTS (AVCHD format) files recoreded with my AVCHD camera. Its specification is as shown below:

$ ffprobe 140612_Canon-00000.MTS 
ffprobe version 2.2.1 Copyright (c) 2007-2014 the FFmpeg developers
(snip)
Input #0, mpegts, from '140612_Canon-00000.MTS':
  Duration: 00:48:58.40, start: 0.800300, bitrate: 5563 kb/s
  Program 1 
    Stream #0:0[0x1011]: Video: h264 (High) (HDMV / 0x564D4448), 
      yuv420p, 1440x1080 [SAR 4:3 DAR 16:9], 
      29.97 fps, 29.97 tbr, 90k tbn, 59.94 tbc
    Stream #0:1[0x1100]: Audio: ac3 (AC-3 / 0x332D4341), 48000 Hz, 
      stereo, fltp, 256 kb/s

Pay attention to the part of framerate/timebase: 29.97 fps, 29.97 tbr, 90k tbn, 59.94 tbc

Now I’d like to convert this file to .mp4 file, without re-encoding H264 video stream, on the other hand, with transcoding its audio stream to AAC.
So I tried the following command:

ffmpeg -i 140612_Canon-00000.MTS -t 60 -y -vcodec copy -acodec libfaac -ab 128k 140612_Canon-00001.MTS.mp4


2. Result

and output file’s specification is as shown below:

$ ffprobe 140612_Canon-00000.MTS.mp4
Input #0, mov,mp4,m4a,3gp,3g2,mj2, from '140612_Canon-00000.MTS.mp4':
  Metadata:
    major_brand     : isom
    minor_version   : 512
    compatible_brands: isomiso2avc1mp41
    encoder         : Lavf55.33.100

  Duration: 00:01:00.04, start: 0.021333, bitrate: 4590 kb/s

    Stream #0:0(und): Video: h264 (High) (avc1 / 0x31637661), yuv420p, 
        1440x1080 [SAR 4:3 DAR 16:9], 4448 kb/s, 
        59.94 fps, 59.94 tbr, 90k tbn, 59.94 tbc (default)
    Metadata:
      handler_name    : VideoHandler

    Stream #0:1(und): Audio: aac (mp4a / 0x6134706D), 
        48000 Hz, stereo, fltp, 128 kb/s (default)
    Metadata:
      handler_name    : SoundHandler

Look at the part of framerate/timebase: 59.94 fps, 59.94 tbr, 90k tbn, 59.94 tbc.
Although ffmpeg just copied the video stream, framerate and timebase has been changed to twice value.

So, when I open and playback the output file with QuickTime Player or VLC Player,
the audio has no problem, however, the video stream is not played correctly.
The video is played back with having its frame forward and backward quiveringly repeatedly.

3. Question

1. How can I convert .MTS file (AVCHD) to .mp4 by ffmpeg without re-encoding H264 video stream correctly?
2. How can I keep the original framerate/timebase values (fps/tbr/tbn/tbc) when I convert the container with ffmpeg and its -vcodec copy switch.
3. How can I set framerate/timebase values (fps/tbr/tbn/tbc) by ffmpeg’s command line options without re-encoding a video stream.

Any ideas?