AMERICAN MOBILE SATELLITE CORP
SC 13D/A, 1999-01-20
COMMUNICATIONS SERVICES, NEC
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                                                     Page 1 of 11 Pages

                                 UNITED STATES
                      SECURITIES AND EXCHANGE COMMISSION
                            Washington, D.C.  20549

                                 SCHEDULE 13D

                   Under the Securities Exchange Act of 1934
                              (Amendment No. 11)*

                      AMERICAN MOBILE SATELLITE CORPORATION
             -----------------------------------------------------
                                (Name of Issuer)
 
                                     COMMON
             -----------------------------------------------------
                         (Title of Class of Securities)

                                    02755R103
             -----------------------------------------------------
                                 (CUSIP Number)

                  Linda S. Martinson, Esq. (212) 583-2000
                767 Fifth Avenue, 49th Floor, New York, NY 10153
             -----------------------------------------------------
                 (Name, Address and Telephone Number of Person
                Authorized to Receive Notices and Communications)

                               January 15,1999
             -----------------------------------------------------
            (Date of Event which Requires Filing of this Statement)

If the filing person has previously filed a statement on Schedule 13G to report
the acquisition which is the subject of this Schedule 13D, and is filing this
schedule because of Rule 13d-1(b)(3) or (4), check the following box [ ].

Check the following box if a fee is being paid with this statement [ ].
(A fee is not required only if the filing person: (1) has a previous  statement
on file reporting beneficial ownership of more than five percent of the class
of securities described in Item 1; and (2) has filed no amendment subsequent
thereto reporting beneficial ownership of five percent or less of such class.)
(See Rule 13d-7.)

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities,
and for any subsequent amendment containing information which would alter
disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be
deemed to be "filed" for the purpose of Section 18 of the Securities Exchange
Act of 1934 ("Act") or otherwise subject to the liabilities of that section of
the Act but shall be subject to all other provisions of the Act (however, see
the Notes).

                                                    SEC 1746 (12-91)<PAGE>
<PAGE>
                                Amendment Number 11 to Schedule 13D (continued)

CUSIP No. 02755R103                                Page 2 of 11 Pages
- --------------------------------------------------------------------------------
   1   NAME OF REPORTING PERSON
       S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
    
       Baron Capital Group, Inc.
- --------------------------------------------------------------------------------
   2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                             (a)  [ ]
                                                             (b)  [ ]
- --------------------------------------------------------------------------------
   3   SEC USE ONLY

- --------------------------------------------------------------------------------
   4   SOURCE OF FUNDS

       OO
- --------------------------------------------------------------------------------
   5   CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDING IS REQUIRED PURSUANT TO ITEMS
       2(C) OR 2(E)    [ ]

- --------------------------------------------------------------------------------
   6   CITIZENSHIP OR PLACE OF ORGANIZATION

- --------------------------------------------------------------------------------
   NUMBER OF      7    SOLE VOTING POWER
     SHARES            1,309,800
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      8    SHARED VOTING POWER
      EACH             4,825,300
   REPORTING      --------------------------------------------------------------
     PERSON       9    SOLE DISPOSITIVE POWER
      WITH             1,309,800
                  --------------------------------------------------------------
                  10   SHARED DISPOSITIVE POWER

                       4,825,300
- --------------------------------------------------------------------------------
  11   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       6,135,100
- --------------------------------------------------------------------------------
  12   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES*


- --------------------------------------------------------------------------------
  13   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

       15.9%
- --------------------------------------------------------------------------------
  14   TYPE OF REPORTING PERSON*

       HC, CO
- --------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT

<PAGE>
                         <PAGE>                   
                                 Amendment Number 11 to Schedule 13D (continued)

CUSIP No. 02755R103                       Page 3 of 11 Pages
- --------------------------------------------------------------------------------
   1   NAME OF REPORTING PERSON
       S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
    
       BAMCO, Inc.
- --------------------------------------------------------------------------------
   2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                             (a)  [ ]
                                                             (b)  [ ]
- --------------------------------------------------------------------------------
   3   SEC USE ONLY

- --------------------------------------------------------------------------------
   4   SOURCE OF FUNDS

       OO
- --------------------------------------------------------------------------------
   5   CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDING IS REQUIRED PURSUANT TO ITEMS
       2(C) OR 2(E)    [ ]

- --------------------------------------------------------------------------------
   6   CITIZENSHIP OR PLACE OF ORGANIZATION

- --------------------------------------------------------------------------------
   NUMBER OF      7    SOLE VOTING POWER
     SHARES            
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      8    SHARED VOTING POWER
      EACH             3,997,000
   REPORTING      --------------------------------------------------------------
     PERSON       9    SOLE DISPOSITIVE POWER
      WITH              
                  --------------------------------------------------------------
                  10   SHARED DISPOSITIVE POWER

                       3,997,000
- --------------------------------------------------------------------------------
  11   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       3,997,000
- --------------------------------------------------------------------------------
  12   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES*


- --------------------------------------------------------------------------------
  13   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

       10.3%
- --------------------------------------------------------------------------------
  14   TYPE OF REPORTING PERSON*

       IA, CO
- --------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT

<PAGE>
<PAGE>
                              Amendment Number 11 to Schedule 13D (continued)

CUSIP No. 02755R103                        Page 4 of 11 Pages
- --------------------------------------------------------------------------------
   1   NAME OF REPORTING PERSON
       S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
    
       Baron Capital Management, Inc.
- --------------------------------------------------------------------------------
   2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                             (a)  [ ]
                                                             (b)  [ ]
- --------------------------------------------------------------------------------
   3   SEC USE ONLY

- --------------------------------------------------------------------------------
   4   SOURCE OF FUNDS

       OO
- --------------------------------------------------------------------------------
   5   CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDING IS REQUIRED PURSUANT TO ITEMS
       2(C) OR 2(E)    [ ]

- --------------------------------------------------------------------------------
   6   CITIZENSHIP OR PLACE OF ORGANIZATION

- --------------------------------------------------------------------------------
   NUMBER OF      7    SOLE VOTING POWER
     SHARES            1,309,800
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      8    SHARED VOTING POWER
      EACH               828,300
   REPORTING      --------------------------------------------------------------
     PERSON       9    SOLE DISPOSITIVE POWER
      WITH             1,309,800
                  --------------------------------------------------------------
                  10   SHARED DISPOSITIVE POWER

                         828,300
- --------------------------------------------------------------------------------
  11   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       2,138,100
- --------------------------------------------------------------------------------
  12   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES*


- --------------------------------------------------------------------------------
  13   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

       5.5%
- --------------------------------------------------------------------------------
  14   TYPE OF REPORTING PERSON*

       IA, CO
- --------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT

<PAGE>
<PAGE>
                              Amendment Number 11 to Schedule 13D (continued)

CUSIP No. 02755R103                        Page 5 of 11 Pages
- --------------------------------------------------------------------------------
   1   NAME OF REPORTING PERSON
       S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
    
       Baron Asset Fund
- --------------------------------------------------------------------------------
   2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                             (a)  [ ]
                                                             (b)  [ ]
- --------------------------------------------------------------------------------
   3   SEC USE ONLY

- --------------------------------------------------------------------------------
   4   SOURCE OF FUNDS

       OO
- --------------------------------------------------------------------------------
   5   CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDING IS REQUIRED PURSUANT TO ITEMS
       2(C) OR 2(E)    [ ]

- --------------------------------------------------------------------------------
   6   CITIZENSHIP OR PLACE OF ORGANIZATION

- --------------------------------------------------------------------------------
   NUMBER OF      7    SOLE VOTING POWER
     SHARES            
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      8    SHARED VOTING POWER
      EACH             3,500,000
   REPORTING      --------------------------------------------------------------
     PERSON       9    SOLE DISPOSITIVE POWER
      WITH             
                  --------------------------------------------------------------
                  10   SHARED DISPOSITIVE POWER

                       3,500,000
- --------------------------------------------------------------------------------
  11   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       3,500,000
- --------------------------------------------------------------------------------
  12   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES*


- --------------------------------------------------------------------------------
  13   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

       9.1%
- --------------------------------------------------------------------------------
  14   TYPE OF REPORTING PERSON*

       IV, OO 
- --------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT

<PAGE>
<PAGE>
                                Amendment Number 11 to Schedule 13D (continued)

CUSIP No. 02755R103                   Page 6 of 11 Pages
- --------------------------------------------------------------------------------
   1   NAME OF REPORTING PERSON
       S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

      Ronald Baron
- --------------------------------------------------------------------------------
   2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                             (a)  [ ]
                                                             (b)  [ ]
- --------------------------------------------------------------------------------
   3   SEC USE ONLY

- --------------------------------------------------------------------------------
   4   SOURCE OF FUNDS

       OO
- --------------------------------------------------------------------------------
   5   CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDING IS REQUIRED PURSUANT TO ITEMS
       2(C) OR 2(E)    [ ]

- --------------------------------------------------------------------------------
   6   CITIZENSHIP OR PLACE OF ORGANIZATION

       USA
- --------------------------------------------------------------------------------
   NUMBER OF      7    SOLE VOTING POWER
     SHARES            1,338,983
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      8    SHARED VOTING POWER
      EACH             4,825,300
   REPORTING      --------------------------------------------------------------
     PERSON       9    SOLE DISPOSITIVE POWER
      WITH             1,338,983
                  --------------------------------------------------------------
                  10   SHARED DISPOSITIVE POWER
                       4,825,300
- --------------------------------------------------------------------------------
  11   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       6,164,283
- --------------------------------------------------------------------------------
  12   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES*


- --------------------------------------------------------------------------------
  13   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

       16.0%
- --------------------------------------------------------------------------------
  14   TYPE OF REPORTING PERSON*

       IN
- --------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT

<PAGE>
<PAGE>
                                             Page 7 of 11 Pages

Item 1.   Security and Issuer
          (a)  Name of Issuer:
               American Mobile Satellite Corporation
          (b)  Address of Issuer's Principal Executive Offices:
               10802 Parkridge Boulevard
               Reston, VA 22091
          (c)  Title and Class of Securities:
               Common      

Item 2.   Identity and Background
          (a)  Name:
               Baron Capital Group, Inc.  ('BCG')
               BAMCO, Inc.  ('BAMCO')
               Baron Capital Management, Inc.  ('BCM')
               Baron Asset Fund ('BAF')
               Ronald Baron
          (b)  Business Address:
               767 Fifth Avenue
               New York, NY 10153
          (c)  Present Principal Employment:
               BCG:             Holding company
               BAMCO:           Investment adviser
               BCM:             Investment adviser
               BAF:             Registered investment company
               Ronald Baron:    President: BCG, BAMCO, BCM; CEO OF BAF
               767 Fifth Avenue
               New York, NY 10153
          (d)  Record of Convictions:
               No material change.
          (e)  Record of Civil Proceedings:
               No material change.
          (f)  Citizenship:
               No material change.

Item 3.    Source and Amount of Funds or Other Consideration
           No material change.



<PAGE>
<PAGE>
                                                          Page 8 of 11 Pages


  Item 4.  Purpose of Transaction
           No material change.

 Item 5.  Interest in Securities of the Issuer*
           (a) Amount and percentage beneficially owned#:
               BCG:             6,135,100      15.9%
               BAMCO:           3,997,000      10.3%
               BCM:             2,138,100       5.5%
               BAF:             3,500,000       9.1% 
               Ronald Baron:    6,164,283      16.0%

           (b) Number of shares as to which such person has:
               (i)   sole power to vote or direct the vote:
               BCG:              1,309,800
               BAMCO:                    0      
               BCM:              1,309,800
               BAF:                      0
               Ronald Baron:     1,338,983
               (ii)  shared power to vote or direct the vote:
               BCG:              4,825,300
               BAMCO:            3,997,000      
               BCM:                828,300
               BAF:              3,500,000
               Ronald Baron:     4,825,300                       
               (iii) sole power to dispose or to direct the disposition:
               BCG:              1,309,800
               BAMCO:                    0      
               BCM:              1,309,800
               BAF:                      0
               Ronald Baron:     1,309,800
              (iv)  shared power to dispose or direct the disposition:
               BCG:              4,825,300
               BAMCO:            3,997,000      
               BCM:                828,300
               BAF:              3,500,000
               Ronald Baron:     4,825,300
          
              *Reporting Persons may be deemed to share power to vote and
               dispose of shares referred to herein as a result of control
               relationships (BCG and Ronald Baron with respect to all of
               the shares; BAMCO with respect to the BAF shares) and 
               pursuant to investment advisory relationships with advisory
               clients.  Reporting Persons disclaim beneficial ownership of
               the shares for which they share power.

           (c) Not applicable.

<PAGE>
<PAGE>
                                                          Page 9 of 11 Pages

           (d) Ownership of More than Five Percent on Behalf of Another Person:
               No material change.

           (e) Ownership of Less than Five Percent:
               Not applicable.

Item 6.    Contracts, Arrangements, Understandings or Relationships with
           Respect to Securities of the Issuer
           On January 15, 1999, BAF purchased from the Issuer a $21.5
           million subordinated, non-recourse, note which is
           exchangeable into shares of XM Satellite Radio Holdings, Inc.,
           a subsidiary of the Issuer, after January 15, 2000.
           
Item 7.    Material to be Filed as Exhibits
           Not applicable.
 
 Signature

     After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete
and correct.

Date:     January 20, 1999


                               Baron Capital Group, Inc., BAMCO, Inc.,
                               Baron Capital Management, Inc.  and
                               Baron Assert Fund
                               By:

                                /s/ Ronald Baron
                                _______________________________________
                                    Ronald Baron, President


                               Ronald Baron, Individually
                               By:
  
                                /s/ Ronald Baron
                                _______________________________________
                                    Ronald Baron
         


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